Quantitative Aptitude Ques 2366

Question: A bucket is of a height 25 cm. Its top and bottom radii are 20 cm and 10 cm, respectively. Its capacity (in litres) is

Options:

A) $ \frac{17.5,\pi }{3}, $

B) $ 17.5,\pi $

C) $ 20,\pi $

D) $ 25,\pi $

Show Answer

Answer:

Correct Answer: A

Solution:

  • Given, height of bucket = 25 cm Radii of top (R) = 20 cm and radii of bottom (r)= 10 cm

$ \therefore $ Capacity of bucket $ =\frac{\pi }{3}h,(R^{2}+r^{2}+Rr) $ $ =\frac{\pi }{3}\times 25,(400+100+200)cm^{3} $ $ =\frac{\pi }{3}\times 25\times 700,cm^{3} $ $ =\frac{\pi }{3}\times \frac{175\times 100}{1000}L=\frac{17.5}{3}\pi L $